11493888 has 80 divisors (see below), whose sum is σ = 35027520. Its totient is φ = 3280896.

The previous prime is 11493883. The next prime is 11493913. The reversal of 11493888 is 88839411.

It is a super-2 number, since 2×11493888² = 264218922713088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11493883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10218 + ... + 11286.

It is an arithmetic number, because the mean of its divisors is an integer number (437844).

Almost surely, 2^11493888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11493888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513760).

11493888 is an abundant number, since it is smaller than the sum of its proper divisors (23533632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11493888 is an equidigital number, since it uses as much as digits as its factorization.

11493888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1081 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 11493888 is about 3390.2637065574. The cubic root of 11493888 is about 225.6778766400.

The spelling of 11493888 in words is "eleven million, four hundred ninety-three thousand, eight hundred eighty-eight".